Mathematical Theory Of Reliability


Mathematical Theory Of Reliability
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Mathematical Theory Of Reliability


Mathematical Theory Of Reliability
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Author : Richard E. Barlow
language : en
Publisher: SIAM
Release Date : 1996-01-01

Mathematical Theory Of Reliability written by Richard E. Barlow and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-01-01 with Technology & Engineering categories.


This monograph presents a survey of mathematical models useful in solving reliability problems. It includes a detailed discussion of life distributions corresponding to wearout and their use in determining maintenance policies, and covers important topics such as the theory of increasing (decreasing) failure rate distributions, optimum maintenance policies, and the theory of coherent systems. The emphasis throughout the book is on making minimal assumptions - and only those based on plausible physical considerations - so that the resulting mathematical deductions may be safely made about a large variety of commonly occurring reliability situations. The first part of the book is concerned with component reliability, while the second part covers system reliability, including problems that are as important today as they were in the 1960s. The enduring relevance of the subject of reliability and the continuing demand for a graduate-level book on this topic are the driving forces behind its re-publication.



Mathematical Theory Of Reliability


Mathematical Theory Of Reliability
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Author : Richard E. Barlow
language : en
Publisher:
Release Date : 1965

Mathematical Theory Of Reliability written by Richard E. Barlow and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with Reliability (Engineering) categories.




Mathematical Theory Of Reliability Of Time Dependent Systems With Practical Applications


Mathematical Theory Of Reliability Of Time Dependent Systems With Practical Applications
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Author : Igor N. Kovalenko
language : en
Publisher: John Wiley & Sons
Release Date : 1997-07-16

Mathematical Theory Of Reliability Of Time Dependent Systems With Practical Applications written by Igor N. Kovalenko and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-07-16 with Mathematics categories.


One of the greatest problems in engineering is reliability. The performance of all machinery degrades over time and unless counteraction is taken at some point, any system will eventually fail. Once a system fails there are a number of possible solutions; the mathematical and statistical measurement and analysis of these solutions forms the mathematical theory of reliability. The aim of the authors is to concentrate on aspects of particular importance in the mathematical theory of reliability of time dependent systems rather than give a general overview. Particular emphasis is placed on fault tree analysis, Monte Carlo methods and importance measures. This book will be of particular interest to applied researchers and engineers working in areas where reliability is crucial. Contents Introduction, Markov and Semi-Markov models as a basis for the mathematical analysis of system reliability, methods for investigating homogeneous and non-homogeneous point processes (event flows), fault trees ? the current state of research, theory of redundant systems, Monte Carlo methods, reliability analysis using perturbation methods, stiff processes in reliability analysis, variance reduction methods, analytical-statistical methods for rapid simulation of repairable systems with structure redundancy, measures of reliability importance of components, index.



Mathematical Methods Of Reliability Theory


Mathematical Methods Of Reliability Theory
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Author : B. V. Gnedenko
language : en
Publisher: Academic Press
Release Date : 2014-06-20

Mathematical Methods Of Reliability Theory written by B. V. Gnedenko and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-20 with Mathematics categories.


Mathematical Methods of Reliability Theory discusses fundamental concepts of probability theory, mathematical statistics, and an exposition of the relationships among the fundamental quantitative characteristics encountered in the theory. The book deals with the set-theoretic approach to reliability theory and the central concepts of set theory to the phenomena. It also presents methods of finding estimates for reliability parameters based on observations and methods of testing reliability hypotheses. Based on mathematical statistics, the book also explains formulation of some selected results. It presents a method that increases the reliability of manufactured articles—redundancy. An important part of product quality control is the standards of acceptance-sampling plans which require simplicity, wide content for flexibility, comprehensive characteristics, and variability. The book also tackles economical and rational methods of sampling inspections, highlighting the need for a correct evaluation of environmental conditions—the factors which predetermine the choice of the inspection method. The book then explains how to estimate the efficiency of the operation of the sampling plan after its selection. The book can be helpful for engineers, mathematicians, economists, or industrial managers, as well as for other professionals who work in the technological, political, research, structural, and physico-chemical areas.



Mathematical Models For Systems Reliability


Mathematical Models For Systems Reliability
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Author : Benjamin Epstein
language : en
Publisher: CRC Press
Release Date : 2008-05-09

Mathematical Models For Systems Reliability written by Benjamin Epstein and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-05-09 with Business & Economics categories.


Evolved from the lectures of a recognized pioneer in developing the theory of reliability, Mathematical Models for Systems Reliability provides a rigorous treatment of the required probability background for understanding reliability theory. This classroom-tested text begins by discussing the Poisson process and its associated probability



Recent Advances In Reliability Theory


Recent Advances In Reliability Theory
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Author : N. Limnios
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Recent Advances In Reliability Theory written by N. Limnios and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.


This book presents thirty-one extensive and carefully edited chapters providing an up-to-date survey of new models and methods for reliability analysis and applications in science, engineering, and technology. The chapters contain broad coverage of the latest developments and innovative techniques in a wide range of theoretical and numerical issues in the field of statistical and probabilistic methods in reliability.



Mathematical And Statistical Methods In Reliability


Mathematical And Statistical Methods In Reliability
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Author : Bo Lindqvist
language : en
Publisher: World Scientific
Release Date : 2003

Mathematical And Statistical Methods In Reliability written by Bo Lindqvist and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.


This book contains extended versions of carefully selected and reviewed papers presented at the Third International Conference on Mathematical Methods in Reliability, held in Norway in 2002. It provides an overview of current research activities in reliability theory. The authors are all leading experts in the field. Readership: Graduate students, academics and professionals in probability & statistics, reliability analysis, survival analysis, industrial engineering, software engineering, operations research and applied mathematics research.



Modern Statistical And Mathematical Methods In Reliability


Modern Statistical And Mathematical Methods In Reliability
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Author : Alyson G. Wilson
language : en
Publisher: World Scientific
Release Date : 2005

Modern Statistical And Mathematical Methods In Reliability written by Alyson G. Wilson and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.


This volume contains extended versions of 28 carefully selected and reviewed papers presented at The Fourth International Conference on Mathematical Methods in Reliability in Santa Fe, New Mexico, June 21OCo25, 2004, the leading conference in reliability research. The meeting serves as a forum for discussing fundamental issues on mathematical methods in reliability theory and its applications. A broad overview of current research activities in reliability theory and its applications is provided with coverage on reliability modeling, network and system reliability, Bayesian methods, survival analysis, degradation and maintenance modeling, and software reliability. The contributors are all leading experts in the field and include the plenary session speakers, Tim Bedford, Thierry Duchesne, Henry Wynn, Vicki Bier, Edsel Pena, Michael Hamada, and Todd Graves."



Reliability Theory And Practice


Reliability Theory And Practice
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Author : Igor Bazovsky
language : en
Publisher: Courier Corporation
Release Date : 2013-04-15

Reliability Theory And Practice written by Igor Bazovsky and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-15 with Mathematics categories.


Written by a pioneer of reliability methods, this text applies statistical mathematics to analysis of electrical, mechanical, and other systems employed in airborne, missile, and ground equipment. 1961 edition.



Reliability Theory Based On Uncertain Lifetimes


Reliability Theory Based On Uncertain Lifetimes
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Author : Ying Liu
language : en
Publisher: Springer Nature
Release Date : 2021-04-16

Reliability Theory Based On Uncertain Lifetimes written by Ying Liu and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-04-16 with Technology & Engineering categories.


This book, to reflect the system’s diverse, relevant characteristics, uses three different mathematical tools, namely probability theory, fuzzy theory and random fuzzy theory, to model and analyze the reliability of each system. Reliability system engineering is an interdisciplinary area that chiefly focuses on the lifecycle characteristics of products and involves many fields of basic mathematics, technical science and management science. In recent years, there have been many books on reliability theory, but comparatively few on the reliability of mathematical models, or the reliability of mathematical models based on single probability theory or fuzzy theory. The findings presented here will not only enrich and expand traditional reliability theory, but also promote the development of related disciplines, lending the book considerable theoretical significance.